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Dirac operators on noncommutative hypersurfaces

Nguyen, Hans; Schenkel, Alexander

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Authors

Hans Nguyen



Abstract

© 2020 Elsevier B.V. This paper studies geometric structures on noncommutative hypersurfaces within a module-theoretic approach to noncommutative Riemannian (spin) geometry. A construction to induce differential, Riemannian and spinorial structures from a noncommutative embedding space to a noncommutative hypersurface is developed and applied to obtain noncommutative hypersurface Dirac operators. The general construction is illustrated by studying the sequence Tθ2↪Sθ3↪Rθ4 of noncommutative hypersurface embeddings.

Citation

Nguyen, H., & Schenkel, A. (2020). Dirac operators on noncommutative hypersurfaces. Journal of Geometry and Physics, 158, Article 103917. https://doi.org/10.1016/j.geomphys.2020.103917

Journal Article Type Article
Acceptance Date Sep 3, 2020
Online Publication Date Sep 9, 2020
Publication Date Dec 1, 2020
Deposit Date Sep 11, 2020
Publicly Available Date Mar 29, 2024
Journal Journal of Geometry and Physics
Print ISSN 0393-0440
Publisher Elsevier
Peer Reviewed Peer Reviewed
Volume 158
Article Number 103917
DOI https://doi.org/10.1016/j.geomphys.2020.103917
Keywords Noncommutative geometry; Bimodule connections; Dirac operators; Noncommutative hypersurfaces
Public URL https://nottingham-repository.worktribe.com/output/4896460
Publisher URL https://www.sciencedirect.com/science/article/pii/S039304402030214X
Additional Information Nguyen, H., & Schenkel, A. (2020). Dirac operators on noncommutative hypersurfaces. Journal of Geometry and Physics, 103917. https://doi.org/10.1016/j.geomphys.2020.103917

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